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122020133232 = 24317238217919
BaseRepresentation
bin111000110100011110…
…1110111100101110000
3102122221210102000022210
41301220331313211300
53444344123230412
6132015534532120
711546526006444
oct1615075674560
9378853360283
10122020133232
1147826203118
121b794367040
13b67789068a
145c97762824
1532924e383c
hex1c68f77970

122020133232 has 160 divisors (see below), whose sum is σ = 348740536320. Its totient is φ = 36567224320.

The previous prime is 122020133227. The next prime is 122020133267. The reversal of 122020133232 is 232331020221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122020133199 and 122020133208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15404569 + ... + 15412487.

It is an arithmetic number, because the mean of its divisors is an integer number (2179628352).

Almost surely, 2122020133232 is an apocalyptic number.

122020133232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174370268160).

122020133232 is an abundant number, since it is smaller than the sum of its proper divisors (226720403088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122020133232 is a wasteful number, since it uses less digits than its factorization.

122020133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122020133232 its reverse (232331020221), we get a palindrome (354351153453).

The spelling of 122020133232 in words is "one hundred twenty-two billion, twenty million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 821 1104 1173 1564 1642 2346 2463 3128 3284 4692 4926 6256 6568 7919 9384 9852 13136 13957 15838 18768 18883 19704 23757 27914 31676 37766 39408 41871 47514 55828 56649 63352 75532 83742 95028 111656 113298 126704 134623 151064 167484 182137 190056 223312 226596 269246 302128 321011 334968 364274 380112 403869 453192 538492 546411 642022 669936 728548 807738 906384 963033 1076984 1092822 1284044 1457096 1615476 1926066 2153968 2185644 2568088 2914192 3096329 3230952 3852132 4371288 5136176 6192658 6461904 6501499 7704264 8742576 9288987 12385316 13002998 15408528 18577974 19504497 24770632 26005996 37155948 39008994 49541264 52011992 74311896 78017988 104023984 110525483 148623792 149534477 156035976 221050966 299068954 312071952 331576449 442101932 448603431 598137908 663152898 884203864 897206862 1196275816 1326305796 1768407728 1794413724 2392551632 2542086109 2652611592 3588827448 5084172218 5305223184 7177654896 7626258327 10168344436 15252516654 20336688872 30505033308 40673377744 61010066616 122020133232